One-Step Equations

One-Step Equations

Expression

• mathematical phrase with a combination of numbers, variables, and operations

• does not have an equals sign

Multiple Choice

An expression has an equals sign.

• True

• False

Equation

• a mathematical sentence stating two expressions are equivalent

• has an equals sign

Multiple Choice

Which of the following has an equals sign?

• Equation

• Expression

Solving equations

• use inverse operations to isolate the variable

• keep the equation balanced by performing the same operation on both sides of the equals sign

Fill in the Blanks

Inverse means

Multiple Choice

Which of the following inverse operations is incorrect?

• inverse of addition is subtraction

• inverse of multiplication is division

• inverse of division is squaring

• inverse of subtraction is addition

 $3=z+6$  

• subtract 6 from both sides

• z=-3

 $r-\left(-2\right)=-15$  

• rewrite as addition

•  $r+2=-15$  

• subtract 2 from both sides

• r=-17

Multiple Choice

How do we solve $f-12=-4$  

• add -12 to both sides

• add 12 to both sides 

• subtract 12 from both sides

• add 4 to both sides

 $-16=-4p$  

• divide both sides by -4

• p=4

 $\frac{k}{3}=-30$  

• multiply both sides by 3

• k=-90

Multiple Choice

 How do we solve $-2k=-100$ ?

• multiply by 2 on both sides

• add 100 to both sides

• divide by 2 on both sides

• divide by -2 on both sides

Multiple Choice

 $9k=-27$  

• k=3

• k=-18

• k=-3

• k=18

Multiple Choice

 $7+g=11$  

• g=4

• g=-4

• g=18

• g=-18

Multiple Choice

 $x-3=9$  

• x=6

• x=12

• x=-3

• x=-12

Multiple Choice

 $\frac{z}{4}=-8$  

• z=-32

• z=2

• z=32

• z=-2

Multiple Choice

 $\frac{x}{6}=2$  

• x=8

• x=4

• x=1/3

• x=12

Multiple Choice

 $\frac{m}{4}=8$  

• m=32

• m=12

• m=2

• m=1/2